On the Support of a hypoelliptic diffusion on the Heisenberg group

Marco Carfagnini

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arXiv · 2101.11045

On the Support of a hypoelliptic diffusion on the Heisenberg group

Marco Carfagnini

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Abstract

We provide an elementary proof of the support of the law of a hypoelliptic Brownian motion on the Heisenberg group $\mathbb{H}$. We consider a control norm associated to left-invariant vector fields on $\mathbb{H}$, and describe the support in terms of the space of finite energy horizontal curves.

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Marco Carfagnini. 2021-01-26. On the Support of a hypoelliptic diffusion on the Heisenberg group. https://arxiv.org/abs/2101.11045

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